IOT POLY ENGINEERING 3-9 DRILL January __, 2009 Complete #4 on the Trigonometry worksheet. Measure...
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Transcript of IOT POLY ENGINEERING 3-9 DRILL January __, 2009 Complete #4 on the Trigonometry worksheet. Measure...
IOT
POLY ENGINEERING3-9
DRILL
January __, 2009
Complete #4 on the Trigonometry worksheet. Measure lengths to the nearest 1/16”.
IOT
POLY ENGINEERING3-9
1. Energy Sources – Fuels and Power Plants2. Trigonometry and Vectors3. Classical Mechanics:
Force, Work, Energy, and Power4. Impacts of Current Generation and Use
UNIT 3 – ENERGY AND POWER
Topics Covered
IOT
POLY ENGINEERING3-9
HOMEWORK
sin A = ac cos A =
bc
tan A = ab
45o
30o
45o
30o1 2 3
2
√2
√3 √3
√23 4
IOT
POLY ENGINEERING3-9
HOMEWORK
IOT
POLY ENGINEERING3-9
DRILLComplete #4 on the Trigonometry worksheet.
tan A = opposite adjacentsin A =
opposite hypotenuse cos A =
adjacent hypotenuse
sin = 3/16
tan = ~3/16
sin = 5/16
tan = 1/3
sin = 1/2
tan = 4/7
sin = 5/8
tan = 5/6
sin = 11/16
tan = 1
sin = 3/4
tan = 1 1/5
sin = 7/8
tan = 1 3/4
sin = 1/8
tan = ~1/8
1. Sketch (sketches go on right side)
2. Write formula (and alter if necessary)
3. Substitute and solve (box answers)
4. Check your solution (make sense?)
Trigonometry and VectorsAlgebra Using Trig Functions
5 2a
sin a= y r
sin a= 2 5
x
We will now go over methods for solving #5 and #6 on
Trigonometry Worksheet
IOT
POLY ENGINEERING3-9
Multiply both sides by rr ya
cos a= x r
r (cos a)= x 10Divide both sides by cos a
r = x
cos a Substitute and Solve= 10 2/5
= (10) 5 2
r = 25
25
Use to solve for y
1. Sketch (sketches go on right side)
2. Write formula (and alter if necessary)
3. Substitute and solve (box answers)
4. Check your solution (make sense?)
Algebra Using Trig FunctionsTrigonometry and Vectors
Trigonometry and Vectors
HOMEWORK
1. Complete problems 4-6 on the Trig. Worksheet
[2. Will be covered shortly]
IOT
POLY ENGINEERING3-9
Trigonometry and Vectors
1. Scalar Quantities – a quantity that involves magnitude only; direction is not importantTiger Woods – 6’1”Shaquille O’Neill – 7’0”
2. Vector Quantities – a quantity that involves both magnitude and direction
Vectors
How hard to impact the cue ball is only part of the game – you need to know direction too
Weight is a vector quantity
IOT
POLY ENGINEERING3-9
Trigonometry and Vectors
1. 5 miles northeast
2. 6 yards
3. 1000 lbs force
Scalar or Vector?
VectorMagnitude and Direction
ScalarMagnitude only
ScalarMagnitude only
4. 400 mph due north
5. $100
6. 10 lbs weight
VectorMagnitude and Direction
ScalarMagnitude only
VectorMagnitude and Direction
IOT
POLY ENGINEERING3-9
Trigonometry and Vectors
3. Free-body DiagramA diagram that shows all external forces acting on an object.
Vectors
friction force
force of gravity
(weight)
applied force
normal force
Wt
FN
Ff
IOT
POLY ENGINEERING3-9
Trigonometry and Vectors
4. Describing vectors – We MUST represent both magnitude and direction.
Describe the force applied to the wagon by the skeleton:
Vectors
45o40 lb
s
magnitude direction
F = 40 lbs 45o
Hat signifies vector quantity
IOT
POLY ENGINEERING3-9
Trigonometry and Vectors
2 ways of describing vectors…
Vectors
45o40 lb
s
F = 40 lbs 45o
F = 40 lbs @ 45o
Students must use this form
IOT
POLY ENGINEERING3-9
Trigonometry and Vectors
Describe the force needed to shoot the cue ball into each pocket:• Draw a line from center of cue ball to center of pocket. • Measure the length of line: 1” = 1 lb force.• Measure the required angle from the given initial side.
Describing Vectors
32
1
4 65
INITIAL SIDE
X” = Y lbs.
Zo
F = 3 13/16 lbs. < 14o
Answer to #1
Trigonometry and Vectors
CLASSWORK / HOMEWORK
1. Complete problems 4-6 on the Trig. Worksheet
2. Complete problems 1-2 on the Vector Worksheet